A new class of nonlinear superposition between lump waves and other waves for Kadomtsev-Petviashvili I equation
报告题目(Title)：A new class of nonlinear superposition between lump waves and other waves for Kadomtsev-Petviashvili I equation
报告人(Speaker)：李彪 教授（宁波大学数学与统计学院）
地点(Place)：后主楼 1223
时间(Time)：5月22日(周六)，11:30-12:30
邀请人(Inviter)：王灯山
报告摘要
In most cases, the lump wave will collide with line waves and breather waves in the hybrid solutions for (2+1)-dimensional integrable systems. However, this study introduces a new constraint condition to construct a nonlinear superposition in which the lump wave does not collide with other waves forever. In particular, the soliton molecule consisting of a lump wave, a line wave and any number of breather waves is derived for the first time by the continued introduction of velocity resonance. The new constraints mentioned in this paper will break the traditional understanding of the interaction between a lump and other waves. And this method can be extended to other (2+1)-dimensional integrable systems.
主讲人简介
李彪，宁波大学数学与统计学院教授、博士生导师，主要研究方向为非线性数学物理和李群及其在微分方程中的应用。主持完成国家自然科学基金3项、省部级项目多项； 参与完成国家自然科学基金重点项目2项；现主持国家自然科学基金面上项目1项。发表论文SCI论文100余篇，他引2千多次。
